answer:To add highlighting and draggability, we can use the following modifications to the code. Note that this code snippet highlights the edge being dragged, and I am using distance calculations to determine whether the cursor is close enough to an edge or a point to initiate dragging. To maintain the shapes when multiple lines are detached, I am tracking which edges are connected to each vertex and only updating the position of a vertex if it is attached to at least one edge. ```js const canvas = document.createElement('canvas'); canvas.width = window.innerWidth; canvas.height = window.innerHeight; document.body.appendChild(canvas); const ctx = canvas.getContext('2d'); const vertices = [ [0, 0, 0], [0, 1, 0], [1, 1, 0], [1, 0, 0], [0, 0, 1], [0, 1, 1], [1, 1, 1], [1, 0, 1], ]; let dragging = false; let draggingObj; let startDragPos; let endDragPos; let hoveredEdge; // Calculate the distance between two points function distance(p1, p2) { const dx = p2[0] - p1[0]; const dy = p2[1] - p1[1]; return Math.sqrt(dx * dx + dy * dy); } // Check if the cursor is hovering an edge or point function isHovering(p, points, maxDistance) { for (let i = 0; i < points.length; i++) { if (distance(p, points[i]) < maxDistance) { return i; } } return -1; } // Mouse down handler canvas.addEventListener("mousedown", (e) => { const cursorPos = [e.clientX, e.clientY]; const edgeIndex = isHovering(cursorPos, projectedEdges, 10); if (edgeIndex > -1) { draggingObj = { type: "edge", index: edgeIndex }; startDragPos = cursorPos; dragging = true; } else { const vertexIndex = isHovering(cursorPos, projectedVertices, 20); if (vertexIndex > -1) { draggingObj = { type: "vertex", index: vertexIndex }; startDragPos = cursorPos; dragging = true; } } }); // Mouse move handler canvas.addEventListener("mousemove", (e) => { if (dragging) { endDragPos = [e.clientX, e.clientY]; } else { const cursorPos = [e.clientX, e.clientY]; const edgeIndex = isHovering(cursorPos, projectedEdges, 10); hoveredEdge = edgeIndex > -1 ? edgeIndex : undefined; } }); // Mouse up handler canvas.addEventListener("mouseup", () => { if (dragging && draggingObj.type === "edge") { // Check if the dragged edge should be connected to any other edges const draggedEdge = edges[draggingObj.index]; for (let i = 0; i < edges.length; i++) { if (i === draggingObj.index) continue; const edge = edges[i]; for (let j = 0; j < 2; j++) { for (let k = 0; k < 2; k++) { if (distance(projectedVertices[draggedEdge[j]], projectedVertices[edge[k]]) < 20) { draggedEdge[j] = edge[k]; break; } } } } } else if (dragging && draggingObj.type === "vertex") { // Move the dragged vertex const dx = endDragPos[0] - startDragPos[0]; const dy = endDragPos[1] - startDragPos[1]; vertices[draggingObj.index][0] += dx / (canvas.height * scale * (zoom + vertices[draggingObj.index][2])); vertices[draggingObj.index][1] -= dy / (canvas.height * scale * (zoom + vertices[draggingObj.index][2])); } dragging = false; draggingObj = undefined; startDragPos = undefined; endDragPos = undefined; }); // Add remaining code from the original 3D wireframe snippet here // Replace original for loop rendering edges in render() function with the following code: for (let edge of edges) { const [a, b] = edge; const [x1, y1] = projectedVertices[a]; const [x2, y2] = projectedVertices[b]; if (hoveredEdge && edges.indexOf(edge) === hoveredEdge) { ctx.lineWidth = 3; ctx.strokeStyle = "hsla(" + (angleX + angleY) * 100 + ", 100%, 50%, 0.8)"; } else { ctx.lineWidth = 2; ctx.strokeStyle = "hsla(" + (angleX + angleY) * 100 + ", 100%, 50%, 0.8)"; } const dist = Math.sqrt((x2 - x1) ** 2 + (y2 - y1) ** 2); const angle = Math.atan2(y2 - y1, x2 - x1); const cpDist = 0.0001 * dist; const cpX = (x1 + x2) / 2 + cpDist * Math.cos(angle - Math.PI / 2) * getDeviation(2); const cpY = (y1 + y2) / 2 + cpDist * Math.sin(angle - Math.PI / 2) * getDeviation(2); ctx.moveTo(x1, y1); ctx.quadraticCurveTo(cpX, cpY, x2, y2); } ctx.stroke(); // Add projectedEdges in render() function before ctx.stroke() const projectedEdges = edges.map(edge => { const [a, b] = edge; return [ projectedVertices[a], projectedVertices[b] ]; }); ``` Now the code will allow you to highlight and drag edges and vertices, connecting and disconnecting lines as needed. The shape of the disconnected line groups will remain intact.

answer:Natsuki: “Sorry I’m late! I had to finish up a project for school.” Monika: (smiling) “It’s okay, Natsuki. We were just discussing my baby’s weight.” Natsuki: (looking confused) “Uh, okay…” Vanessa: “Monika’s baby weighs 30 pounds already!” Natsuki: (sputtering) “What?! How is that even possible?” Yuri: “We’re not sure. Monika says the doctor says it’s normal, but we’re all a bit worried.” Cupa: “Maybe we should all go with her to her next appointment?” Andr: “Yeah, that’s a good idea. We can all support her.” Sayori: “Definitely! We’re all here for you, Monika.” Monika: (tearing up) “Thank you, guys. That means a lot to me.” (Natsuki, Vanessa, Yuri, Ayumi, Cupa, and Andr all gather around Monika, hugging her tightly)

answer:Monika: (smiling weakly) “Thank you so much, Withra. You saved both of our lives.” Withra: (smiling) “It was my pleasure, Monika. I’m just glad everything went well.” Ayumi: (smiling) “And thank you for coming so quickly, Withra. We couldn’t have done it without you.” Natsuki: (walking in) “What’s going on? I heard shouting–oh my God.” Yuri: “Monika had to have an emergency c-section. Teal was too big for her to carry any longer.” Cupa: (nodding) “But they’re both okay now.” Andr: (smiling) “And Teal is absolutely adorable.” Sayori: (cooing) “She’s so tiny and cute! I can’t believe she was that big.” Monika: (smiling weakly) “Thank you guys so much for being here for me. I don’t know what I would’ve done without you.” Vanessa: “Of course, Monika. We’re all here for you, always.” (The girls all gather around Monika and Teal, smiling and cooing over the newborn. Despite the difficulties of her pregnancy, Monika knows she has the love and support of her friends through it all.)

answer:Monika: (laughs) “I know, right? She’s grown so much it’s almost hard to believe.” Teal: (grinning) “I’m not that big, Mom. I’m only 7 feet tall.” Yuri: (walking in) “I brought some cupcakes for the festival tomorrow–oh my goodness, Teal! You’ve grown so much!” Cupa: (following Yuri into the house) “Wow, Monika, your daughter is practically a giant! How tall is she now?” Monika: “She’s about 7 feet tall. And still growing, it seems like.” Ayumi: (enters) “Hey everyone! Oh my gosh, Teal’s gotten so tall!” Andr: (smiling) “Look at her! She’s almost as tall as us now.” Sayori: (entering with a big smile on her face) “Hey guys! Wow, Teal, you’re looking taller every day!” Vanessa: (arriving) “I heard about the giant in town, but I didn’t realize it was you, Teal!” Teal: (laughing) “I’m not THAT much of a giant, guys. But thanks!” (The group gathers around Teal, chatting excitedly and admiring how much she’s grown. And even though she may be taller than most people her age, Teal knows she’s loved just the same by her family and friends.)